Analysis and numerical simulation of generalized time-fractional Cattaneo model for heat conduction in porous medium
Year: 2024
Type: article
Abstract: In this study, we employed a novel technique with the help of the iterative method (DGJM) to solve the generalized time-fractional Cattaneo model (GTFCM). The existence and uniqueness of the solutions for this fractional model are examined using Banach’s fixed-point theorem. Additionally, the stability of the solutions is evaluated under Ulam-Hyers conditions. The fractional order derivative is calculated by using the Caputo derivative with order 1 < α < 2 . We compared our results with the exact solution and other existing techniques, demonstrating that our approach is efficient.
Source: Modern Physics Letters B
Authors: Amit Prakash, Manoj Kumar
Institution: National Institute of Technology Kurukshetra
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4405331736